Answer:
11/18
Explanation:
So, we know AB, BE, ED, and DA all have a length of 7 units because the square root of 49 is 7. Due to the Fact AG is 9 units, we can deduce that DG is 2 units, and DE is 7 units. If this is confusing, it helps to label the drawing or redraw it on a sheet of paper.
We can also prove that if AC = 10 units and AB = 7 units, BC must be 3 units by 7 units.
The smaller shaded region has an area of 2x7 = 14 units
The larger shaded region has an area of 3x7 = 21 units
The entire area of ACIG equals AC times AG, or 10x9 = 90 units
We must subtract the areas of the shaded region to find out how much space is being used.
90-14= 76
76-21= 55
This means 55/90 units are shaded. Let's find the simplest form...
55 and 90 have 5 as a common denominator. Divide both numbers by their common denominator, and you get:
11/18
Hope this helped!!